Normal Hopf subalgebras of semisimple Hopf algebras
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Abstract:
The notion of kernel of a representation of a semisimple Hopf algebra is introduced. Similar properties to those of the kernel of a group representation are proved in some special cases. In particular, every normal Hopf subalgebra of a semisimple Hopf algebra $H$ is the kernel of a representation of $H$. The maximal normal Hopf subalgebras of $H$ are described.References
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Additional Information
- Sebastian Burciu
- Affiliation: Institute of Mathematics “Simion Stoilow” of the Romanian Academy, P.O. Box 1-764, RO-014700, Bucharest, Romania
- Email: smburciu@syr.edu
- Received by editor(s): October 18, 2007
- Received by editor(s) in revised form: March 9, 2009
- Published electronically: July 16, 2009
- Additional Notes: This research was supported by grant CEx05-D11-11/04.10.05 from the Ministry of Education and Research, Romania
- Communicated by: Martin Lorenz
- © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Proc. Amer. Math. Soc. 137 (2009), 3969-3979
- MSC (2000): Primary 16W30
- DOI: https://doi.org/10.1090/S0002-9939-09-09965-1
- MathSciNet review: 2538556